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arXiv · 2204.12524

On strong second-order optimality conditions under relaxed constant rank constraint qualification

Ademir Alves Ribeiro·Mael Sachine
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Abstract

We discuss the (first- and second-order) optimality conditions for nonlinear programming under the relaxed constant rank constraint qualification. This condition generalizes the so-called linear independence constraint qualification. Although the optimality conditions are well established in the literature, the proofs presented here are based solely on the well-known inverse function theorem. This is the only prerequisite from real analysis used to establish two auxiliary results needed to prove the optimality conditions, thereby making this paper totally self-contained.

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Ademir Alves Ribeiro, Mael Sachine. 2022-04-26. On strong second-order optimality conditions under relaxed constant rank constraint qualification. https://arxiv.org/abs/2204.12524

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